Diameter of Section given Wetted Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
dsection = p/(0.5*θAngle*(180/pi))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Wetted Perimeter of Channel - (Measured in Meter) - Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.
STEP 1: Convert Input(s) to Base Unit
Wetted Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required
Subtended Angle in Radians: 3.14 Degree --> 0.0548033385126116 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dsection = p/(0.5*θAngle*(180/pi)) --> 16/(0.5*0.0548033385126116*(180/pi))
Evaluating ... ...
dsection = 10.1910828025497
STEP 3: Convert Result to Output's Unit
10.1910828025497 Meter --> No Conversion Required
FINAL ANSWER
10.1910828025497 10.19108 Meter <-- Diameter of Section
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

14 Geometrical Properties of Circular Channel Section Calculators

Diameter of Section given Section Factor
Go Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5)
Section Factor for Circle
Go Section Factor of Circular Channel = (((sqrt(2))/32)*(Diameter of Section^2.5)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5))
Diameter of Section given Hydraulic Depth
Go Diameter of Section = Hydraulic Depth of Circular Channel/(0.125*((Subtended Angle in Radians*(180/pi))-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)))
Hydraulic Depth of Circle
Go Hydraulic Depth of Circular Channel = (Diameter of Section*0.125)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2))
Diameter of Section given Wetted Area
Go Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
Diameter of Section given Hydraulic Radius for Channel
Go Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))
Wetted Area for Circle
Go Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2))
Hydraulic Radius given Angle
Go Hydraulic Radius of Circular Channel = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/(180/pi)*Subtended Angle in Radians)
Diameter of Section given Wetted Perimeter
Go Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
Angle of Sector given Wetted Perimeter
Go Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180)
Wetted Perimeter for circle
Go Wetted Perimeter of Channel = 0.5*Subtended Angle in Radians*Diameter of Section*180/pi
Angle of Sector given Top Width
Go Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section))
Diameter of Section given Top Width
Go Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2)
Top Width for Circle
Go Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2)

Diameter of Section given Wetted Perimeter Formula

Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
dsection = p/(0.5*θAngle*(180/pi))

What is Circular Section?

A circle has the least perimeter for a given area of any geometric shape. Semi-circular open channel will discharge more water than any other shape (assuming that the area, slope and surface roughness are the same). Semi-circular shape/circular shape are practical for concrete and steel pipes.

How to Calculate Diameter of Section given Wetted Perimeter?

Diameter of Section given Wetted Perimeter calculator uses Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)) to calculate the Diameter of Section, Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact. Diameter of Section is denoted by dsection symbol.

How to calculate Diameter of Section given Wetted Perimeter using this online calculator? To use this online calculator for Diameter of Section given Wetted Perimeter, enter Wetted Perimeter of Channel (p) & Subtended Angle in Radians Angle) and hit the calculate button. Here is how the Diameter of Section given Wetted Perimeter calculation can be explained with given input values -> 10.19108 = 16/(0.5*0.0548033385126116*(180/pi)).

FAQ

What is Diameter of Section given Wetted Perimeter?
Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact and is represented as dsection = p/(0.5*θAngle*(180/pi)) or Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body & Subtended Angle in Radians is the angle made by something from a given viewpoint.
How to calculate Diameter of Section given Wetted Perimeter?
Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact is calculated using Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). To calculate Diameter of Section given Wetted Perimeter, you need Wetted Perimeter of Channel (p) & Subtended Angle in Radians Angle). With our tool, you need to enter the respective value for Wetted Perimeter of Channel & Subtended Angle in Radians and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter of Section?
In this formula, Diameter of Section uses Wetted Perimeter of Channel & Subtended Angle in Radians. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
  • Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))
  • Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2)
  • Diameter of Section = Hydraulic Depth of Circular Channel/(0.125*((Subtended Angle in Radians*(180/pi))-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)))
  • Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!